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Vesnalui [34]
3 years ago
10

Which applies the power of a power rule properly to simplify this expression?

Mathematics
2 answers:
emmainna [20.7K]3 years ago
6 0

Answer:

D.

Step-by-step explanation:

[7^(-8)]^(-4) =

A power raised to a power: multiply the exponents.

= 7^[(-8)*(4)]

= 7^(32)

Answer: D.

vodomira [7]3 years ago
6 0

Answer:

7^32, the fourth option

Step-by-step explanation:

For the power rule, if you have a number to a power, for example x^{a} and raise it to another power so it becomes, (x^{a} )^{b}, We simplify by multiplying the powers together. So the simplified answer would be x^{(a*b)}.

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Aidan has 20 ft of fence with which to build a rectangular dog run. What is the maximum area he can enclose? Enter your answer i
irina1246 [14]
<h2>Maximum area is 25 m²</h2>

Explanation:

Let L be the length and W be the width.

Aidan has 20 ft of fence with which to build a rectangular dog run.

         Fencing = 2L + 2W  = 20 ft

                     L + W = 10

                      W = 10 - L

We need to find what is the largest area that can be enclosed.

     Area = Length x Width

      A = LW

       A = L x (10-L) = 10 L - L²

For maximum area differential is zero

So we have

      dA = 0

      10 - 2 L = 0

        L = 5 m

      W = 10 - 5 = 5 m

Area = 5 x 5 = 25 m²

Maximum area is 25 m²

7 0
3 years ago
Whats 600 divied by 300
kolbaska11 [484]

Answer:

2

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Convert 3,124 meters to kilometers (1 kilometer =1000 meters)
Mrac [35]

Answer:

3.124 kilometers

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
PLEASE HELP I DONT KNOW
azamat

Answer:

48.56 cm

Step-by-step explanation:

The rectangle: 10+10+8+8

= 36cm

The half circle: 1/2 πd

=1/2x3.14X8

= 12.56

So, the total perimeter will be- 36+12.56

=48.56

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5 0
3 years ago
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Write the following function in standard form. Show your work. y=(x-5)(x+5)(2x-1)
Gnesinka [82]

Answer:

\boxed{y=4x^3-x^2-50x+25}


Step-by-step explanation:

The given function is


y=(x-5)(x+5)(2x-1)


Observe that, the first two factors are from difference of two squares.


\Rightarrow y=(x^2-5^2)(2x-1)


\Rightarrow y=(x^2-25)(2x-1)

We expand the brackets using the distributive property to obtain;

\Rightarrow y=2x^2(2x-1)-25(2x-1)


\Rightarrow y=4x^3-x^2-50x+25


The above function is now in standard form, since the terms are arranged in descending powers of x.



4 0
3 years ago
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